Answer:
13
Step-by-step explanation:
(1−−4)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(1++0)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(5)2+(12)2‾‾‾‾‾‾‾‾‾‾‾√25+144‾‾‾‾‾‾‾‾‾√169‾‾‾‾√≈13
Sorry if the explanation is a bit confusing but, I used the distance formula to do this.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
17 - (3x + 5) = 3x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: 17 - 3x - 5 = 3x - 6
- Add 3x on both sides: 17 - 5 = 6x - 6
- Combine like terms: 12 = 6x - 6
- Isolate <em>x</em> term: 18 = 6x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 17 - (3(3) + 5) = 3(3) - 6
- Multiply: 17 - (9 + 5) = 9 - 6
- Add: 17 - 14 = 9 - 6
- Subtract: 3 = 3
Here we see that 3 does indeed equal 3.
∴ x = 3 is the solution to the equation.
The average rate of change is equal to 10 miles per hour.
<h3>What is the average rate of change?</h3>
It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given that the function is changing from point (30,2) to (20,1). The average rate of the change will be calculated as,
The average rate of change = ( 30 - 20) / ( 2 - 1)
Average rate of change = 10 miles per hour
Therefore, the average rate of change is equal to 10 miles per hour.
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Answer:
108 square feet
Step-by-step explanation:
First you want to break up the "L" into two parts. These parts can be seens as a and b. You need to find out the length on the left hand side, and half of it is 6ft as seen, so if half of it is 6ft, then you need to find the other half, which is obviously 6ft. 6+6=12, and to find the area of the thinner rectangle, multiply 2*24=48. That would be the area of section a. Section b is the bottom section and what you want to do is multiply 10*6 because this is how you would find the area of section b, which would be 60. 60+48=108. I know I was not very descriptive but I still hope this somewhat helps. I also might be wrong because of the fact that it says surface area despite the fact that this shape is 2D.
![A = A_{0}*( \frac{1}{2})^(t/t_{\frac{1}{2}) [tex]A= Amount of Substance Left A_{0} = Initial Amount of Substance t = Time Taken t_{\frac{1}{2}} = Half-Life of the Substance](https://tex.z-dn.net/?f=A%20%3D%20A_%7B0%7D%2A%28%20%5Cfrac%7B1%7D%7B2%7D%29%5E%28t%2Ft_%7B%5Cfrac%7B1%7D%7B2%7D%29%20%20%5Btex%5DA%3D%20Amount%20of%20Substance%20Left%20A_%7B0%7D%20%3D%20Initial%20Amount%20of%20Substance%20t%20%3D%20Time%20Taken%20t_%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20Half-Life%20of%20the%20Substance)
